1. Ji = yo 7 3. J3 = y2 | 7 Given the following integrals h dx 2 h • I2 dx = -h. h2 3 -h • I3 dx = -h. 2h 2h2 3 where h = x2 – x1 = X1 – xo- Using I1, I2 and I3, evaluate the following integrals (x – x1)(x – x2) dx. 1. J1 = yo (xo – 1)(xo – x2) (x – xo)(x – x2) T2 2. J2 = y1 dx. (x1 – ro)(x1 – x2) p* (r – xo)(x – x1) 3. J3 = 42 dx. (12 – To)(x2 – 11)
1. Ji = yo 7 3. J3 = y2 | 7 Given the following integrals h dx 2 h • I2 dx = -h. h2 3 -h • I3 dx = -h. 2h 2h2 3 where h = x2 – x1 = X1 – xo- Using I1, I2 and I3, evaluate the following integrals (x – x1)(x – x2) dx. 1. J1 = yo (xo – 1)(xo – x2) (x – xo)(x – x2) T2 2. J2 = y1 dx. (x1 – ro)(x1 – x2) p* (r – xo)(x – x1) 3. J3 = 42 dx. (12 – To)(x2 – 11)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
What is the solution for this question
![Exercise 1
Given the following integrals
ch
•
dx
h
2
x²
dx = -h.
h?
4.
• 1, =
1-
3
-h
ch
x²
1
dx = -h.
3
• 13 =
2h2
2h
where h = x2 – X1 = X1 – x0-
Using I1, I2 and I3, evaluate the following integrals
(x – x1)(x – x2)
1. Ji = yo
dx.
(xo – x1)(xo – X2)
po* (x – xo)(x – 12)
L - 20)(x1 – 12)
2. J2 = y1
dx.
(x – xo)(x – x1)
3. J3 = y2
dx.
(x2 – xo)(x2 – 21)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F44fc33fa-f0a7-4f0d-8fd2-501707f936b1%2Fbb07a281-fbe1-48b7-91c2-44eca53a2907%2Fexfepdp_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Exercise 1
Given the following integrals
ch
•
dx
h
2
x²
dx = -h.
h?
4.
• 1, =
1-
3
-h
ch
x²
1
dx = -h.
3
• 13 =
2h2
2h
where h = x2 – X1 = X1 – x0-
Using I1, I2 and I3, evaluate the following integrals
(x – x1)(x – x2)
1. Ji = yo
dx.
(xo – x1)(xo – X2)
po* (x – xo)(x – 12)
L - 20)(x1 – 12)
2. J2 = y1
dx.
(x – xo)(x – x1)
3. J3 = y2
dx.
(x2 – xo)(x2 – 21)
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